RT Journal Article
T1 Operator-free sparse domination
A1 Lerner, Andrei K.
A1 Lorist, Emiel
A1 Ombrosi, Sheldy Javier
AB We obtain a sparse domination principle for an arbitrary family of functions 𝑓 (𝑥, 𝑄), where 𝑥 ∈ R𝑛 and Q is a cube in R𝑛. When applied to operators, this result recovers our recent works [37, 39]. On the other hand, our sparse domination principle can be also applied to non-operator objects. In particular, we show applications to generalised Poincaré–Sobolev inequalities, tent spaces and general dyadic sums. Moreover, the flexibility of our result allows us to treat operators that are not localisable in the sense of [39], as we will demonstrate in an application to vectorvalued square functions.
PB Cambridge University Press
SN 2050-5094
YR 2022
FD 2022-02-28
LK https://hdl.handle.net/20.500.14352/98523
UL https://hdl.handle.net/20.500.14352/98523
LA eng
NO Lerner AK, Lorist E, Ombrosi S (2022) Operator-free sparse domination. Forum of Mathematics, Sigma 10:e15. https://doi.org/10.1017/fms.2022.8
DS Docta Complutense
RD 7 abr 2025